Technical Field
[0001] The present invention relates to a method for predicting the hardness of a cold worked
component and a method for acquiring a hardness-equivalent plastic strain curve of
a steel material.
Background Art
[0002] In the working of a cold worked component including sheet forging, grasping the mechanical
properties of the material is important in terms of working process design. Work hardening
characteristics, which are a kind of mechanical properties of a material, can be acquired
on the basis of a stress-strain curve of the material; the larger the plastic strain
applied to the material is, the larger the work hardening of the material is. However,
when a component is molded by cold working, plastic strain in the interior of the
material after cold working is not uniform, and therefore a hardness distribution
occurs in the interior. Hence, a method for finding the hardness of an arbitrary part
of a cold worked component with good accuracy has been desired.
[0003] For example, Patent Literature 1 discloses a method in which a dent is provided in
a cylindrical test piece and a cylinder compression test is performed in a state where
a liquid lubricant is put in the dent to reduce the influence of friction, and thereby
a relationship between the hardness and the strain of the material is measured.
Citation List
Patent Literature
Summary of Invention
Technical Problem
[0005] However, in the method of Patent Literature 1 above, the aspect ratio of the cylindrical
test piece is limited in terms of preventing the buckling of the test piece during
compression; if the aspect ratio of the test piece is more than 1.0, it is difficult
to apply strain. Further, usually one test piece can provide only plastic strain for
one amount of compression (one amount of strain); hence, to acquire plastic strain
for a plurality of amounts of compression and obtain a relationship between the hardness
and the strain of a material, it is necessary to perform a plurality of rounds of
compression test while changing the amount of compression. Further, it is difficult
to create a cylinder compression test piece from a thin steel sheet.
[0006] Thus, the present invention has been made in view of the problem mentioned above,
and an object of the present invention is to provide a new and improved method for
predicting the hardness of a cold worked component in which a relationship between
the hardness and the strain of a material can be obtained by acquiring plastic strain
for amounts of compression by one round of compression test.
Solution to Problem
[0007] According to an aspect of the present disclosure in order to achieve the above object,
there is provided a method for estimating a hardness of a cold worked component including:
preparing a test piece for hardness measurement having a dent portion of a shape corresponding
to a shape of the contact surface of the punch by using a mounting base on which a
test piece is mounted and a punch of which a contact surface to be in contact with
the test piece is a curved surface, and compressing the test piece mounted on the
mounting base using the punch; measuring hardnesses of the test piece for hardness
measurement at a plurality of hardness measurement positions in a measurement direction
while taking, as the measurement direction, a direction in the dent portion in which
a sheet thickness changes; performing numerical analysis to calculate equivalent plastic
strains of the test piece for hardness measurement, and acquiring a hardness-equivalent
plastic strain curve on the basis of the hardnesses and the equivalent plastic strains
at the hardness measurement positions; and specifying a hardness from the calculated
value of equivalent plastic strain of an arbitrary part of the cold worked component
on the basis of the hardness-equivalent plastic strain curve by performing numerical
analysis to calculate a value of equivalent plastic strain of a cold worked component.
[0008] The test piece may be in a flat sheet-like shape.
[0009] The test piece for hardness measurement may be created by compressing the test piece
by means of the punch in a state where the test piece is restrained in a sheet width
direction.
[0010] The test piece for hardness measurement may be created so as to have a strain distribution
including a strain region larger than uniform elongation obtained in a uniaxial tensile
test.
[0011] The test piece for hardness measurement may be created so as to have a strain distribution
including a strain region where equivalent plastic strain is more than 1.0.
[0012] The hardness measurement positions may be set at prescribed intervals in the measurement
direction from a center of the dent portion of the test piece for hardness measurement.
[0013] The test piece may be the same material as the cold worked component.
[0014] According to another aspect of the present disclosure in order to achieve the above
object, there is provided a method for acquiring a hardness-equivalent plastic strain
curve of a steel material including: preparing a test piece for hardness measurement
having a dent portion of a shape corresponding to a shape of a contact surface of
a punch; measuring hardnesses of the test piece for hardness measurement at a plurality
of hardness measurement positions in a measurement direction while taking, as the
measurement direction, a direction in the dent portion in which a sheet thickness
changes; and performing numerical analysis to calculate equivalent plastic strains
of the test piece for hardness measurement, and acquiring a hardness-equivalent plastic
strain curve on the basis of the hardnesses and the equivalent plastic strains at
the hardness measurement positions, wherein the test piece is mounted on a mounting
base and the punch of which a contact surface to be in contact with the test piece
is a curved surface, and compressing the test piece mounted on the mounting base using
the punch.
Advantageous Effects of Invention
[0015] As described above, according to the present invention, a relationship between the
hardness and the equivalent plastic strain of a material can be obtained by acquiring
equivalent plastic strain for amounts of compression by one round of compression test.
Brief Description of Drawings
[0016]
[FIG. 1] FIG. 1 is a flow chart showing a method for estimating a hardness of a cold
worked component according to an embodiment of the present invention.
[FIG. 2] FIG. 2 is a schematic side view and a schematic plan view showing a configuration
example of a jig for creating a test piece for hardness measurement according to the
embodiment.
[FIG. 3] FIG. 3 is an explanatory diagram showing a test piece before pressing by
a punch and the test piece after pressing by the punch (a test piece for hardness
measurement). The present drawing is a conceptual diagram created on the basis of
photographs.
[FIG. 4] FIG. 4 is a schematic side view and a schematic plan view showing another
configuration example of a jig for creating a test piece for hardness measurement
according to the embodiment.
[FIG. 5] FIG. 5 is an explanatory diagram showing a test piece before pressing by
a punch and the test piece after pressing by the punch (a test piece for hardness
measurement) when the test piece for hardness measurement is created by the jig of
FIG. 2 in a state where a sheet width direction of the test piece is not restrained.
The present drawing is a conceptual diagram created on the basis of photographs.
[FIG. 6] FIG. 6 is an explanatory diagram showing hardness measurement positions of
a test piece for hardness measurement. The present drawing is a conceptual diagram
created on the basis of a photograph.
[FIG. 7] FIG. 7 is an explanatory diagram showing an equivalent plastic strain distribution
in region A of FIG. 6.
[FIG. 8] FIG. 8 is an explanatory diagram showing an Example of a hardness-equivalent
plastic strain curve.
[FIG. 9] FIG. 9 is an explanatory diagram showing the hardness-equivalent plastic
strain curve acquired in Example of FIG. 8 and a hardness-equivalent plastic strain
approximate curve obtained by rolling.
Description of Embodiments
[0017] Hereinafter, (a) preferred embodiment(s) of the present invention will be described
in detail with reference to the appended drawings. Note that, in this specification
and the appended drawings, structural elements that have substantially the same function
and structure are denoted with the same reference numerals, and repeated explanation
of these structural elements is omitted.
<1. Outline>
[0018] First, an outline of a method for estimating the hardness of a cold worked component
according to an embodiment of the present invention is described. In the method for
estimating the hardness of a cold worked component according to the present embodiment,
first, one round of compression test is performed on one test piece, and a test piece
for hardness measurement having a plastic strain distribution is created. Then, hardnesses
of the created test piece for hardness measurement are measured at a plurality of
hardness measurement positions, and a hardness-equivalent plastic strain curve is
acquired on the basis of the measured hardnesses and equivalent plastic strains of
the test piece for hardness measurement found by numerical calculation. Here, plastic
strain is a vector quantity having magnitude and direction; in an orthogonal coordinate
system, plastic strain is composed of six components of normal strains that are changes
in length in an x-direction, a y-direction, and a z-direction and shear strains that
are changes in angle in an xy plane, a yz plane, and a zx plane. In the present embodiment,
hardness is predicted on the basis of a relationship between equivalent plastic strain,
which is obtained by converting plastic strain to a scalar quantity of solely magnitude,
and hardness. The hardness in an arbitrary place of a cold worked component can be
estimated by performing numerical analysis to calculate a value of equivalent plastic
strain of the cold worked component and using a hardness-equivalent plastic strain
curve to specify a hardness corresponding to the equivalent plastic strain.
[0019] In the method for estimating the hardness of a cold worked component according to
the present embodiment, a test piece for hardness measurement having a plastic strain
distribution can be created easily by one round of compression test, and a hardness-equivalent
plastic strain curve can be acquired from one test piece for hardness measurement.
Further, the method for estimating the hardness of a cold worked component according
to the present embodiment can be used even for a thin steel sheet because a plastic
strain distribution is acquired from a flat sheet-like test piece, as described later.
The method for estimating the hardness of a cold worked component according to the
present embodiment will now be described in detail.
<2. Method for estimating hardness of cold worked component>
[0020] The processing of a method for estimating the hardness of a cold worked component
will now be described on the basis of the flow chart shown in FIG. 1, which shows
a method for estimating the hardness of a cold worked component according to the present
embodiment.
[2-1. Creation of test piece for hardness measurement]
[0021] In a method for estimating the hardness of a cold worked component according to the
present embodiment, as shown in FIG. 1, first, a test piece for hardness measurement
is created in order to acquire a hardness-equivalent plastic strain curve regarding
the material of a cold worked component (S110). The test piece for hardness measurement
is created by using a mounting base on which a test piece is mounted and a punch of
which a contact surface to be in contact with the test piece is a curved surface and
compressing a base material (a test piece) mounted on a test stand by means of the
punch. The shape of the test piece is not particularly limited because numerical analysis
on the test piece for hardness measurement can be performed when the shape of the
test piece before compression is known. The test piece is preferably in a flat sheet-like
shape with a planar shape of a rectangle in view of the ease of identification of
the shape of the test piece, a case where the test piece for hardness measurement
is created in a state where the test piece is restrained, etc. In the following, a
description is given on the assumption that the test piece is in a flat sheet-like
shape. Further, the material of the test piece is assumed to be the same as the material
of a cold worked component of which the hardness is wanted to be estimated. For example,
in the case where a steel sheet is subjected to cold working, a test piece is created
from a steel sheet to be used for the working, that is, an identical steel sheet before
the working.
[0022] The test piece for hardness measurement is created by, for example, a jig 100 like
that shown in FIG. 2. The jig 100 is composed of, as shown in FIG. 2, a die 110 on
which a test piece 10 is mounted and that restrains the mounted test piece 10 in the
sheet width direction (an X-direction), holding members 121 and 123 that hold, from
above, the test piece 10 restrained by the die 110, and a punch 130 that presses the
test piece 10 from above.
[0023] The die 110 is composed of a pair of wall portions 111 and 113 and a flat surface
portion 115, and has a cross section of a substantially U-shaped form. The pair of
wall portions 111 and 113 face each other with a spacing substantially equal to the
sheet width of the test piece 10, and restrain the test piece 10 in the sheet width
direction (the X-direction). The flat surface portion 115 exists between the pair
of wall portions 111 and 113, and plays a role as a mounting base on which the test
piece 10 is mounted. That is, the die 110 according to the present embodiment has
a trench having a width substantially equal to the sheet width of the test piece 10
and extending in the longitudinal direction (a Y-direction). When the test piece 10
is placed along the trench, the sheet width direction of the test piece 10 is restrained
by the die 110. Although a die 110 in which the pair of wall portions 111 and 113
for restraint in the sheet width direction of the test piece 10 and the flat surface
portion 115 on which the test piece 10 is mounted are formed integrally is used in
the jig 100 shown in FIG. 2, the configuration of the jig 100 for creating a test
piece for hardness measurement is not limited to such an example.
[0024] The holding members 121 and 123 hold, from above, both ends in the longitudinal direction
of the test piece 10 placed on the die 110. Both end portions of the test piece 10
are sandwiched and fixed in the sheet thickness direction (a Z-direction) by the flat
surface portion 115 of the die 110 and the holding members 121 and 123. At this time,
the die 110 and the holding members 121 and 123 are fixed by, for example, bolts (not
illustrated) or the like in a state of sandwiching end portions of the test piece
10. By fixing the test piece 10 in the sheet thickness direction by means of the die
110 and the holding members 121 and 123, the occurrence of warpage in the test piece
10 at the time of being pressed by the punch 130 can be suppressed.
[0025] The punch 130 presses the test piece 10 placed on the die 110. In the punch 130,
a contact surface 131 to be in contact with the test piece 10 is formed as a curved
surface. For example, the punch 130 shown in FIG. 2 is formed as a substantially semicircular
sheet-shaped member of which the contact surface 131 is formed of an outer peripheral
surface with a radius of curvature of R and that has a width substantially equal to
the sheet width of the test piece 10. The punch 130 presses the test piece 10 between
the holding members 121 and 123 in a state of keeping the contact surface 131 facing
the test piece 10 and associating the circumferential direction of the contact surface
131 and the longitudinal direction of the test piece 10 together. As a result, a test
piece for hardness measurement 20 like that shown on the lower side of FIG. 3 that
has a dent portion 21 corresponding to the shape of the contact surface 131 of the
punch 130 is formed from a flat sheet-like test piece 10 like that shown on the upper
side of FIG. 3.
[0026] In the case where a test piece for hardness measurement is created using the jig
100 shown in FIG. 2, the punch 130 having a width substantially equal to the sheet
width of the test piece 10 is pushed against the test piece 10 in a state where the
test piece 10 is restrained in the sheet width direction by the wall portions 111
and 113 of the die 110. The punch 130 gets into the trench of the die 110 and pushes
the test piece 10, and forms the dent portion 21 in the test piece 10. By using such
a jig 100 to form the dent portion 21 in the test piece 10, the test piece 10 does
not deform in the sheet width direction when pushed by the punch 130, and the formed
dent portion 21 can, as shown in FIG. 3, be a dent portion uniformly compressed in
the sheet width direction. That is, a test piece for hardness measurement 20 provided
with uniform plastic strain in the sheet width direction can be obtained. By creating
such a test piece for hardness measurement 20, each time one round of hardness measurement
described later is performed, a side surface may be ground to expose a surface not
affected by the last round of hardness measurement; thus, hardness measurement can
be performed again.
[0027] To create a test piece for hardness measurement, it is sufficient that there be a
mounting base on which a test piece is mounted and a punch of which a contact surface
to be in contact with the test piece is a curved surface. For example, as shown in
FIG. 4, a jig 100A formed of a punch 130A that compresses the test piece 10 is used
to push the test piece 10 mounted on a mounting base 200. For example, like in FIG.
2, the punch 130A may be formed as a substantially semicircular sheet-shaped member
of which a contact surface 131A is formed of an outer peripheral surface with a radius
of curvature of R and that has a width substantially equal to the sheet width of the
test piece 10. It is sufficient that the mounting base 200 be so stable that the mounted
test piece 10 does not deform even when pushed by the punch 130A.
[0028] In the case where a test piece for hardness measurement is created in this way, the
test piece 10 is compressed by the punch 130A in a state where the sheet width direction
is not restrained, and therefore the dent portion of the created test piece for hardness
measurement slightly spreads in the sheet width direction. Further, since holding
members that hold the test piece 10 from above are not used, the test piece 10 is
not fixed in the sheet thickness direction, and warpage occurs in the test piece 10
when the test piece 10 is pressed by the punch 130A. However, even if such deformation
occurs in the test piece for hardness measurement, numerical analysis on the test
piece for hardness measurement can be performed when the shape of the test piece 10
before compression by the punch 130A is known. Thus, in the creation of a test piece
for hardness measurement, it is not necessarily required to restrain the sheet width
direction and the sheet thickness direction of the test piece 10 like in FIG. 2. As
a matter of course, the test piece 10 mounted on the mounting base 200 may be compressed
by the punch 130A in a state where either one of the sheet width direction and the
sheet thickness direction of the test piece 10 is restrained.
[0029] FIG. 5 shows an example of a test piece for hardness measurement 20A that is formed
by pushing the punch 130 into a test piece 10A in a state where the test piece 10A
is mounted on the mounting base 200 and the sheet width direction is not restrained.
The test piece for hardness measurement 20A shown in FIG. 5 is one created using the
jig 100 shown in FIG. 2. In order to achieve a state where the sheet width direction
of the test piece 10A is not restrained, in the test piece 10A of FIG. 5, the sheet
width of a center region in the longitudinal direction where the punch 130 is pushed
in (that is, a region where a dent portion 21A of the test piece for hardness measurement
20A can be formed) is set smaller than the sheet width of an end portion region. Thereby,
when the test piece 10A is placed on the die 110, the center region in the longitudinal
direction where the punch 130 is pushed in is prevented from coming into contact with
the wall portion 111 or 113; thus, the punch 130 can be pushed into the test piece
10A in a state where the sheet width direction is not restrained. In the creation
of the test piece for hardness measurement 20A shown in FIG. 5, also the holding members
121 and 123 were used.
[0030] When the test piece 10A is pushed in by the punch 130 without restraining the sheet
width direction, a test piece for hardness measurement 20A like that shown on the
lower side of FIG. 5 is created. The lower side of FIG. 5 shows a perspective view
and a side view of the test piece for hardness measurement 20A. The test piece for
hardness measurement 20A has a dent portion 21A of a shape corresponding to the shape
of the contact surface 131 of the punch 130, and is provided with plastic strain in
the longitudinal direction.
[0031] The plastic strain to be provided to the test piece for hardness measurement 20 or
20A can be set by the shape of the contact surface 131 of the punch 130 to be pressed
against the test piece 10 or 10A. For example, the larger the radius of curvature
R of the contact surface 131 of the punch 130 is set, the larger the resolution is,
and the more finely the relationship between hardness and equivalent plastic strain
can be obtained. When the radius of curvature R of the contact surface 131 of the
punch 130 is larger, a larger load needs to be applied to the test piece 10 or 10A.
[0032] Although the punches 130 and 130A shown in FIG. 2 and FIG. 4 have shapes in which
the contact surfaces 131 and 131A are formed of outer peripheral surfaces with a radius
of curvature of R and that have widths substantially equal to the sheet widths of
the test pieces 10 and 10A, respectively, the present invention is not limited to
such examples. In the punches 130 and 130A, for example, the contact surfaces 131
and 131A may be spherical surfaces.
[0033] The processing of obtaining a hardness-equivalent plastic strain curve used for the
estimation of the hardness of a cold worked component is performed using the test
piece for hardness measurement 20 or 20A created in the above way. In the following,
a case where a hardness-equivalent plastic strain curve is obtained using the test
piece for hardness measurement 20 shown in FIG. 3 is described; however, similar processing
may be performed also when other test pieces for hardness measurement, such as the
test piece for hardness measurement 20A shown in FIG. 5, are used.
[2-2. Measurement of hardness]
[0034] When obtaining a hardness-equivalent plastic strain curve, first, hardnesses of the
test piece for hardness measurement 20 formed in step S110 are measured (S120). The
test piece for hardness measurement 20 has a plastic strain distribution in the longitudinal
direction. For example, the dent portion 21 pressed by the punch 130 is provided with
such a high equivalent plastic strain as to exceed uniform elongation in a uniaxial
tensile test. A portion of the test piece for hardness measurement 20 not pressed
by the punch 130 is not provided with plastic strain, and is in the state of the base
material with no strain as it is. That is, the test piece for hardness measurement
20 is provided with a plastic strain distribution from a strain region exceeding uniform
elongation in a uniaxial tensile test to a region of the base material with no strain
as it is. Here, uniform elongation in a uniaxial tensile test is in accordance with
JIS Z 2241. Further, such an equivalent plastic strain as to exceed uniform elongation
in a uniaxial tensile test is an equivalent plastic strain more than 1.0, for example.
[0035] In step S120, such a test piece for hardness measurement 20 is embedded in a resin,
and hardnesses of the test piece for hardness measurement 20 are measured at a plurality
of hardness measurement positions in a measurement direction while taking, as the
measurement direction, an arbitrary direction in the dent portion 21 in which the
sheet thickness changes. For example, the longitudinal direction of the test piece
for hardness measurement 20 is taken as a measurement direction, and hardnesses are
measured at prescribed intervals in the longitudinal direction from the center position
of the dent portion 21 formed by pushing-in by the punch 130. The hardness can be
measured by a Vickers hardness test of JIS Z 2244.
[0036] FIG. 6 shows hardness measurement positions P
n (n = 0, 1, ···, k) of the test piece for hardness measurement 20. Hardness measurement
positions P
n are set at prescribed equal intervals along the longitudinal direction of the test
piece for hardness measurement 20. Hardness measurement position Po is the center
of the dent portion 21 formed by pressing by the punch 130, and represents the position
pressed by the punch 130 most. Hardnesses are measured at a plurality of hardness
measurement positions P
n in the longitudinal direction from the center of the dent portion 21 of such a test
piece for hardness measurement 20 (hardness measurement position Po), and thereby
a hardness distribution in the longitudinal direction is acquired.
[2-3. Acquisition of hardness-equivalent plastic strain curve]
[0037] When hardnesses of the test piece for hardness measurement 20 are measured by step
S120, an equivalent plastic strain distribution is acquired by numerical analysis
on the basis of the measured hardnesses; thus, a hardness-equivalent plastic strain
curve is acquired on the basis of the equivalent plastic strain distribution (S130).
[0038] Specifically, first, the equivalent plastic strain of each hardness measurement part
P
n is calculated by numerical analysis such as the finite element method (FEM), on the
basis of the hardness distribution in the longitudinal direction of the test piece
for hardness measurement 20 acquired in step S120. Thereby, an equivalent plastic
strain distribution of the test piece for hardness measurement 20 is obtained. For
example, an equivalent plastic strain distribution like that shown in FIG. 7 is obtained
when, for example as shown in FIG. 6, an equivalent plastic strain distribution is
calculated on the basis of hardnesses of region A from hardness measurement position
Po to hardness measurement position P
n where the sheet thickness is not changed from the sheet thickness of the base material.
Then, the actual measurement values of hardness and the equivalent plastic strains
at the hardness measurement positions are plotted; thus, a hardness-equivalent plastic
strain curve is obtained.
[0039] In step 130, in the case where a test piece for hardness measurement created in a
state where the sheet width direction is restrained, like the test piece for hardness
measurement 20 shown in FIG. 3, is used, numerical analysis can be performed using
a two-dimensional FEM, for example. On the other hand, in the case where a test piece
for hardness measurement created in a state where the sheet width direction is not
restrained, like the test piece for hardness measurement 20A shown in FIG. 5, is used,
it is necessary to perform numerical analysis using a three-dimensional FEM, for example.
Thus, the analysis time can be made shorter when a test piece for hardness measurement
created in a state where the sheet width direction is restrained is used than when
a test piece for hardness measurement created in a state where the sheet width direction
is not restrained is used.
[0040] By the processing of steps S110 to S130 above, a hardness-equivalent plastic strain
curve used to estimate the hardness of a cold worked component is acquired.
[2-4. Estimation of hardness]
[0041] When a hardness-equivalent plastic strain curve is obtained by step S130, the hardness
of a cold worked component can be estimated on the basis of such a hardness-equivalent
plastic strain curve (S140). Specifically, first, a value of equivalent plastic strain
of the cold worked component is calculated by numerical analysis such as the FEM.
Then, from the value of equivalent plastic strain of an arbitrary part of the cold
worked component, the hardness is specified using the hardness-equivalent plastic
strain curve obtained in step S130. In this way, the hardness in that part can be
estimated.
<3. Conclusions>
[0042] Hereinabove, a method for estimating the hardness of a cold worked component according
to the present embodiment is described. According to the present embodiment, a test
piece is pressed using a mounting base on which the test piece is mounted and a punch
of which a contact surface to be in contact with the test piece is a curved surface,
and a test piece for hardness measurement is created. Thus, a test piece for hardness
measurement can be created by providing a test piece with a plastic strain distribution
by one round of compression test. Then, hardnesses of the test piece for hardness
measurement are measured, and equivalent plastic strains for amounts of compression
of the test piece for hardness measurement are calculated by numerical analysis; thus,
a hardness-equivalent plastic strain curve that is a relationship between the hardness
and the equivalent plastic strain of the material can be acquired easily. By using
the acquired hardness-equivalent plastic strain curve, the hardness of an arbitrary
part of a cold worked component can be estimated easily from an equivalent plastic
strain distribution of the cold worked component obtained by numerical analysis.
[0043] For example, in a cold worked component of a complicated shape such as a gear, in
order to estimate the hardness of an arbitrary part of the cold worked component,
conventionally it has been necessary to perform a plurality of rounds of measurement
of hardness and calculation of plastic strain while changing the amount of compression
of a test piece. In contrast, when the method for estimating the hardness of a cold
worked component according to the present embodiment is used, a hardness-equivalent
plastic strain curve can be obtained by one round of compression test; thus, the hardness
of an arbitrary part of a cold worked component can be estimated easily. Further,
in a cold worked component based on sheet forging, the hardness is higher than in
the material before the working, due to work hardening. Also in such a cold worked
component, a relationship between such equivalent plastic strains as to exceed uniform
elongation in a tensile test and hardnesses can be acquired when the method for estimating
the hardness of a cold worked component according to the present embodiment is used.
Thus, the hardness of an arbitrary part can be estimated easily also for a cold worked
component based on sheet forging.
[0044] The sheet thickness of the test piece used in the method for estimating the hardness
of a cold worked component according to the present embodiment is not particularly
limited; for example, the method can be used even for a test piece of a thin steel
sheet of less than or equal to 2 mm, and a hardness-equivalent plastic strain curve
can be obtained by one round of compression test. The minimum value of the sheet thickness
of the test piece is determined in accordance with the maximum load that can be provided
to the test piece by a punch for creating a test piece for hardness measurement. If
the test piece is too thin, a distribution of plastic strain may be difficult to identify;
thus, a hardness-equivalent plastic strain curve with good accuracy can be obtained
when the test piece has a certain thickness. Further, in the method for estimating
the hardness of a cold worked component according to the present embodiment, a test
piece can be provided with high strain without creating a test piece with a high aspect
ratio, by squashing a thin steel sheet by using a punch having a contact surface of
an arc-like peripheral surface or a spherical surface.
[Examples]
[0045] A hardness-equivalent plastic strain curve of a hot rolled steel sheet was acquired
using the technique according to the present invention. For the acquisition of the
hardness-equivalent plastic strain curve, first, a hot rolled steel sheet of a flat
sheet-like shape with a sheet width of 20 mm, a sheet length of 100 mm, and a sheet
thickness of 4 mm was used as a base material (a test piece), and the jig shown in
FIG. 2 was used to compress a center portion of the test piece by means of a punch
with an arc-shaped outer peripheral surface. The radius of curvature of the arc portion
of the punch was 20 mm, and the width of the arc portion was 20 mm, which was equal
to the sheet width of the test piece. In the present Example, a load of 24 tonf was
applied to the test piece by the punch, and the test piece was compressed so that
the sheet thickness of the most compressed position (that is, the center of the dent
portion) might be 1 mm; thus, a test piece for hardness measurement was created.
[0046] Next, the test piece for hardness measurement was embedded in a resin, and subsequently
hardnesses were measured at 0.3 mm intervals in the longitudinal direction from the
center of the dent portion formed by being pressed by the punch. The measurement of
hardness was performed on the basis of a Vickers hardness test of JIS Z 2244. In the
present Example, three rounds of hardness measurement were performed on the one test
piece for hardness measurement. At this time, each time one round of hardness measurement
was performed, a side surface of the test piece for hardness measurement that has
undergone hardness measurement was ground to expose a surface not affected by the
last round of hardness measurement; then, the next round of hardness measurement was
performed.
[0047] On the other hand, numerical analysis by the FEM was performed on the test piece
for hardness measurement, and an equivalent plastic strain distribution of the test
piece for hardness measurement was acquired. FIG. 7 is an equivalent plastic strain
distribution of the test piece for hardness measurement obtained by numerical analysis.
[0048] Then, the equivalent plastic strain in each hardness measurement position was specified
using the actual measurement values of hardness of the test piece for hardness measurement
and the equivalent plastic strain distribution of the test piece for hardness measurement
shown in FIG. 7. The results of plotting of the hardnesses obtained by three rounds
of hardness measurement (measurements N1 to N3) and the equivalent plastic strains
specified by equivalent plastic strain distributions are shown in FIG. 8. As shown
in FIG. 8, it can be seen that the plotted points are substantially on the same curve
and there is a certain corresponding relationship between hardness and equivalent
plastic strain. As shown by the broken line in FIG. 8, the hardness-equivalent plastic
strain curve acquired by the technique of the present invention mentioned above can
be obtained from the relationship between the hardnesses obtained by measurements
N1 to N3 and the equivalent plastic strains by using, for example, the least squares
method.
[0049] Here, in order to verify the effectiveness of the relationship between hardness and
equivalent plastic strain obtained by the present invention, the result of a hardness-equivalent
plastic strain curve obtained by providing an identical test piece with plastic strain
by rolling and the relationship between hardness and equivalent plastic strain mentioned
above were compared. In FIG. 9, a hardness-equivalent plastic strain approximate curve
obtained by rolling is shown by the solid line. As shown in FIG. 9, the hardness-equivalent
plastic strain curve obtained by the technique of the present invention shown by the
broken line is substantially equal to the hardness-equivalent plastic strain approximate
curve obtained by rolling shown by the solid line. From this, it has been shown that
a hardness-equivalent plastic strain curve can be acquired with good accuracy by the
technique according to the present invention.
[0050] Further, a similar test was performed also on a test piece for hardness measurement
like that shown in FIG. 5 that was created in a state where the sheet width direction
was not restrained. That is, a hot rolled steel sheet of a flat sheet-like shape with
a sheet width of 20 mm, a sheet length of 100 mm, and a sheet thickness of 4 mm was
used as a base material (a test piece), and the jig shown in FIG. 2 was used to compress
a center portion of the test piece by means of a punch with an arc-shaped outer peripheral
surface. The sheet width of a center region in the longitudinal direction of the test
piece was, as shown on the upper side of FIG. 5, set smaller than the sheet width
(20 mm) of an end portion region in order to avoid contact with a wall portion of
the die. The radius of curvature of the arc portion of the punch was 20 mm, and the
width of the arc portion was 20 mm, which was equal to the sheet width of the test
piece. A load of 24 tonf was applied to the test piece by the punch, and the test
piece was compressed so that the sheet thickness of the center of the dent portion
might be 1 mm; thus, a test piece for hardness measurement was created. Then, the
test piece for hardness measurement was embedded in a resin, and subsequently hardnesses
were measured at 0.3 mm intervals in the longitudinal direction from the center of
the dent portion formed by being pressed by the punch.
[0051] As a result, it has been found that also the test piece for hardness measurement
created in a state where the sheet width direction was not restrained has been provided
with an equivalent plastic strain distribution like that shown in FIG. 7, similarly
to the test piece for hardness measurement created while the sheet width direction
was restrained. Also for the relationship between hardness and equivalent plastic
strain, a similar relationship to FIG. 8 was obtained.
[0052] The preferred embodiment(s) of the present invention has/have been described above
with reference to the accompanying drawings, whilst the present invention is not limited
to the above examples. A person skilled in the art may find various alterations and
modifications within the scope of the appended claims, and it should be understood
that they will naturally come under the technical scope of the present invention.
Reference Signs List
[0053]
- 10, 10A
- test piece
- 20, 20A
- test piece for hardness measurement
- 21, 21A
- dent portion
- 100, 100A
- jig
- 110
- die
- 111, 113
- wall portion
- 115
- flat surface portion
- 121, 123
- holding member
- 130, 130A
- punch
- 131, 131A
- outer peripheral surface
- 200
- mounting base
1. A method for estimating a hardness of a cold worked component comprising:
preparing a test piece for hardness measurement having a dent portion of a shape corresponding
to a shape of the contact surface of the punch by using a mounting base on which a
test piece is mounted and a punch of which a contact surface to be in contact with
the test piece is a curved surface, and compressing the test piece mounted on the
mounting base using the punch;
measuring hardnesses of the test piece for hardness measurement at a plurality of
hardness measurement positions in a measurement direction while taking, as the measurement
direction, a direction in the dent portion in which a sheet thickness changes;
performing numerical analysis to calculate equivalent plastic strains of the test
piece for hardness measurement, and acquiring a hardness-equivalent plastic strain
curve on the basis of the hardnesses and the equivalent plastic strains at the hardness
measurement positions; and
specifying a hardness from the calculated value of equivalent plastic strain of an
arbitrary part of the cold worked component on the basis of the hardness-equivalent
plastic strain curve by performing numerical analysis to calculate a value of equivalent
plastic strain of a cold worked component.
2. The method for estimating a hardness of a cold worked component according to claim
1,
wherein the test piece is in a flat sheet-like shape.
3. The method for estimating a hardness of a cold worked component according to claim
2,
wherein the test piece for hardness measurement is created by compressing the test
piece by means of the punch in a state where the test piece is restrained in a sheet
width direction.
4. The method for estimating a hardness of a cold worked component according to any one
of claims 1 to 3,
wherein the test piece for hardness measurement has a strain distribution including
a strain region larger than uniform elongation obtained in a uniaxial tensile test.
5. The method for estimating a hardness of a cold worked component according to any one
of claims 1 to 3,
wherein the test piece for hardness measurement has a strain distribution including
a strain region where equivalent plastic strain is more than 1.0.
6. The method for estimating a hardness of a cold worked component according to any one
of claims 1 to 5,
wherein the hardness measurement positions are set at prescribed intervals in the
measurement direction from a center of the dent portion of the test piece for hardness
measurement.
7. The method for estimating a hardness of a cold worked component according to any one
of claims 1 to 6,
wherein the test piece is the same material as the cold worked component.
8. A method for acquiring a hardness-equivalent plastic strain curve of a steel material
comprising:
preparing a test piece for hardness measurement having a dent portion of a shape corresponding
to a shape of a contact surface of a punch;
measuring hardnesses of the test piece for hardness measurement at a plurality of
hardness measurement positions in a measurement direction while taking, as the measurement
direction, a direction in the dent portion in which a sheet thickness changes; and
performing numerical analysis to calculate equivalent plastic strains of the test
piece for hardness measurement, and acquiring a hardness-equivalent plastic strain
curve on the basis of the hardnesses and the equivalent plastic strains at the hardness
measurement positions,
wherein the test piece is mounted on a mounting base and the punch of which a contact
surface to be in contact with the test piece is a curved surface, and compressing
the test piece mounted on the mounting base using the punch.